Pith Number

pith:XMUIWH2U

pith:2018:XMUIWH2UGXKRQ4YE7EUKQ6DEVM

not attested not anchored not stored refs pending

Polyhedral divisors of affine trinomial hypersurfaces

Oleg Kruglov

arxiv:1810.08784 v1 · 2018-10-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMUIWH2UGXKRQ4YE7EUKQ6DEVM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:02:41.894640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb288b1f5435d5187304f928a87864ab2658cb59f597b52a801b530c9ac90e51

Aliases

arxiv: 1810.08784 · arxiv_version: 1810.08784v1 · doi: 10.48550/arxiv.1810.08784 · pith_short_12: XMUIWH2UGXKR · pith_short_16: XMUIWH2UGXKRQ4YE · pith_short_8: XMUIWH2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XMUIWH2UGXKRQ4YE7EUKQ6DEVM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bb288b1f5435d5187304f928a87864ab2658cb59f597b52a801b530c9ac90e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e953ef952abd7f9c1e3c5cf9a8ca258d124036ad86084202f193af0f63a88890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-20T10:25:25Z",
    "title_canon_sha256": "934e58f58bbe1487370c2565156e54829d10f607b0ee63504e8dd74027fa29e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08784",
    "kind": "arxiv",
    "version": 1
  }
}